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Finding the Fourth Proportional to 976.96, 1,348.23 and 584.02

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Solution

The fourth proportional to 976.96, 1,348.23 and 584.02 is: 805.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.96 : 1,348.23 = 584.02 : x
  2. Step 2: Convert to fraction form
    976.96/1,348.23 = 584.02/x
  3. Step 3: Cross multiply
    976.96x = 1,348.23 × 584.02
  4. Step 4: Simplify right side
    976.96x = 787,393.28
  5. Step 5: Solve for x
    x = 787,393.28/976.96
  6. Step 6: Final answer
    x = 805.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.